Grassi Gabriele, Grassi Mario, Kuhn Anne, Kandolf Reinhard
Department of Molecular Pathology, Institute for Pathology, University of Tübingen, Liebermeisterstrasse 8, D-72076, Tübingen, Germany.
J Math Biol. 2002 Sep;45(3):261-77. doi: 10.1007/s002850200152.
Hammerhead ribozymes provide valuable tools in the field of gene therapy due to their cleavage specificity and the broad range of RNA targets. A major prerequisite for the selection of suitable ribozymes for in vivo application is represented by in vitro determination of ribozyme cleavage kinetic constants. From the experimental cleavage data, kinetic constants are usually calculated under the assumption of rapid conversion of the substrate into the ribozyme-substrate complex. However, this condition is often not satisfied for ribozymes carrying additional RNA stretches, due to cloning strategies or necessary for ribozyme expression in the cell. To overcome this problem, we propose a mathematical model which is able to calculate ribozyme kinetic constants in the case of non-rapid conversion of substrate into ribozyme-substrate complex. In addition, our system gives the opportunity to evaluate the nature of the S conversion into ES through the determination of a model parameter. The validity of the proposed model is restricted to the hypothesis of a ribozyme excess over the substrate at the beginning of the cleavage reaction and to the absence of any mass exchange with the external environment.
锤头状核酶因其切割特异性和广泛的RNA靶标,为基因治疗领域提供了有价值的工具。体外测定核酶切割动力学常数是体内应用选择合适核酶的主要前提。从实验切割数据中,通常在底物快速转化为核酶-底物复合物的假设下计算动力学常数。然而,由于克隆策略或细胞内核酶表达的需要,携带额外RNA片段的核酶往往不满足这一条件。为克服这一问题,我们提出了一个数学模型,该模型能够在底物非快速转化为核酶-底物复合物的情况下计算核酶动力学常数。此外,我们的系统通过确定一个模型参数,有机会评估S转化为ES的性质。所提出模型的有效性仅限于切割反应开始时核酶过量于底物的假设以及不存在与外部环境的任何质量交换。